Great document that I'd not seen but it doesn't talk about any outage for changes etc. The only changes that are in the new binded template will be an SSID that was not being broadcast before. But I didn't know if this would cause any outage during the template change for config checks or anything.
Haven´t done this yet, so I´m not sure. Would imagine it may interrupt for a short period of time, but someone else can probably give you more verified information. Do you maybe have a testlab where you can figure this out?
BTW, understood it like you want to bind it to the old template again, which seem to cause in a problem.